three solid sphere of iron whose diameters are 2 cm 12 cm and 16 cm respectively are melted into a single solid sphere find its volume
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Diameter of three solid spheres = 2cm , 12cm , 16cm
so, Radius of three solid sphere = 1cm , 6cm , 8cm
Radius of solid spheres = ??
Volume of three solid sphere of iron= V.O.Solid sphere
4/3 pi r^3 + 4/3 pir^3 + 4/ 3 pir^3 = 4/ 3 piR^3
4/3pi ( 1^3 + 6^3 + 8^3) = 4/ 3 piR^3
1 + 216 + 512 = R^3
729 = R^3
R = 9 cm
SO , RADIUS OF SOLID SPHERE IS 9 cm
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